• On Unitary Quasi-Square Equivalence and Related Classes of Operators 

  Mwaura M Peter, John Matuya, Victor Wanjala (2026-03)

  This paper introduces and systematically investigates the notion of unitary quasi-square equivalence for bounded linear operators on Hilbert spaces. This equivalence relation, defined through the unitary equivalence of ...
• On Deformed-Metric Equivalence of Hilbert Space Operators 

  Collins Amenya, Victor Wanjala, John Matuya (2026-08)

  This paper introduces and studies a novel class of equivalence relations in operator theory, called deformed-metrically equivalent operators. Two operators S and T in B(H) are said to be deformed-metrically equivalent if ...
• On (α, β)–Almost Similar Operators in Hilbert Spaces 

  Beatrice Obiero Adhiambo, Victor Wanjala (2026-04)

  This paper introduces and investigates a novel generalization of operator similarity, termed (α, β)–almost similarity, which extends the concept of almost similar operators by incorporating two real parameters. We establish ...
• Local spectral properties for operators satisfying A nBA n = U (t)A j U (t) ∗ 

  Victor Wanjala (2026-06)

  In this paper, we investigate the local spectral properties of bounded linear operators A and B acting on a Hilbert space H , which satisfy the generalized operator equation A nBA n = U (t)A j U (t) ∗ , t ∈ I ⊆ ...
• Influence of Project Planning Practices on Cost Overruns in The Construction of Trunk Roads in Kenya 

  Joachim Aloo, Patrick Gudda, John Troon (2026-05)

  In ideal situation, road infrastructure projects should be completed within the planned budget, schedule, and scope to ensure efficient utilization of public resources and timely delivery of transport services that ...

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